Uploaded February 2024 | Updated September 2026, 2 weeks ago
This video describes how to incorporate physics into the machine learning process. The process of machine learning is broken down into five stages: (1) formulating a problem to model, (2) collecting and curating training data to inform the model, (3) choosing an architecture with which to represent the model, (4) designing a loss function to assess the performance of the model, and (5) selecting and implementing an optimization algorithm to train the model. At each stage, we discuss how prior physical knowledge may be embedding into the process.
Physics informed machine learning is critical for many engineering applications, since many engineering systems are governed by physics and involve safety critical components. It also makes it possible to learn more from sparse and noisy data sets.
This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company
%%% CHAPTERS %%%
00:00 Intro
03:53 What is Physics Informed Machine Learning?
06:41 Case Study: Encoding Pendulum Movement
09:19 The Five Stages of Machine Learning
16:09 A Principled Approach to Machine Learning
20:00 Physics Informed Problem Modeling
21:48 Physics Informed Data Curation
25:34 Physics Informed Architecture Design
28:59 Physics Informed Loss Functions
30:55 Physics Informed Optimization Algorithms
34:56 What This Course Will Cover
46:48 Outro
This video describes how to incorporate physics into the machine learning process. The process of machine learning is broken down into five stages: (1) formulating a problem to model, (2) collecting and curating training data to inform the model, (3) choosing an architecture with which to represent the model, (4) designing a loss function to assess the performance of the model, and (5) selecting and implementing an optimization algorithm to train the model. At each stage, we discuss how prior physical knowledge may be embedding into the process.
Physics informed machine learning is critical for many engineering applications, since many engineering systems are governed by physics and involve safety critical components. It also makes it possible to learn more from sparse and noisy data sets.
This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company
%%% CHAPTERS %%%
00:00 Intro
03:53 What is Physics Informed Machine Learning?
06:41 Case Study: Encoding Pendulum Movement
09:19 The Five Stages of Machine Learning
16:09 A Principled Approach to Machine Learning
20:00 Physics Informed Problem Modeling
21:48 Physics Informed Data Curation
25:34 Physics Informed Architecture Design
28:59 Physics Informed Loss Functions
30:55 Physics Informed Optimization Algorithms
34:56 What This Course Will Cover
46:48 Outro

![Gentle Introduction to Modeling with Matrices and Vectors: A Probabilistic Weather Model
This video gives an intro example of how we model complex systems that change in time, using matrices and vectors. Specifically, I build a toy model for the weather, where the probability of the weather today being (R)ainy, (N)ice, or (C)loudy is stored in a vector [R, N, C]. This probability of the weather being in one of these states tomorrow is then updated by multiplying this vector by a probability matrix.
Code examples are given in Python and Matlab.
Playlist: https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPA
Course Website: http://faculty.washington.edu/sbrunton/me564/
@eigensteve on Twitter
eigensteve.com
databookuw.com
This video was produced at the University of Washington
%%% CHAPTERS %%%
0:00 Overview
1:07 Building a simple weather model
5:00 Modeling the state as a vector
6:50 Writing the dynamical system update rule as a matrix
14:07 Matlab code example
23:43 Python code example
38:24 Teaser of how to make system more realistic Gentle Introduction to Modeling with Matrices and Vectors: A Probabilistic Weather Model](https://i.ytimg.com/vi/K-8F_zDMDUI/mqdefault.jpg)




![New Advances in Artificial Intelligence and Machine Learning
[Tier 1, Lecture 3] This video describes modern advances in machine learning and artificial intelligence, which are rapidly evolving technologies. Topics include generative AI (diffusion models, DALL-E 2, ChatGPT, etc.), reinforcement learning, computer vision, etc.
This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company
%%% CHAPTERS %%%
0:00 Overview
1:04 Image Classification
3:14 The Importance of Training Data
7:19 Generative Images
8:22 Image Captioning
9:18 DALL-E 2
11:08 History of Deep Dream
14:15 Text Generation and NLP
16:24 ChatGPT and LLMs
18:55 What is ML good at?
20:36 Reinforcement Learning and Atari
24:45 Chaos and Weather
26:45 Outro New Advances in Artificial Intelligence and Machine Learning](https://i.ytimg.com/vi/NQkSH_CBPq8/mqdefault.jpg)



